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86 lines
2.2 KiB
86 lines
2.2 KiB
// (C) Copyright John Maddock 2005-2006. |
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// Use, modification and distribution are subject to the |
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// Boost Software License, Version 1.0. (See accompanying file |
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) |
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#ifndef BOOST_MATH_HYPOT_INCLUDED |
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#define BOOST_MATH_HYPOT_INCLUDED |
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#ifdef _MSC_VER |
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#pragma once |
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#endif |
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#include <boost/math/tools/config.hpp> |
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#include <boost/math/tools/precision.hpp> |
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#include <boost/math/policies/error_handling.hpp> |
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#include <boost/math/special_functions/math_fwd.hpp> |
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#include <boost/config/no_tr1/cmath.hpp> |
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#include <algorithm> // for swap |
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#ifdef BOOST_NO_STDC_NAMESPACE |
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namespace std{ using ::sqrt; using ::fabs; } |
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#endif |
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namespace boost{ namespace math{ namespace detail{ |
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template <class T, class Policy> |
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T hypot_imp(T x, T y, const Policy& pol) |
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{ |
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// |
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// Normalize x and y, so that both are positive and x >= y: |
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// |
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using std::fabs; using std::sqrt; // ADL of std names |
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x = fabs(x); |
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y = fabs(y); |
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#ifdef BOOST_MSVC |
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#pragma warning(push) |
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#pragma warning(disable: 4127) |
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#endif |
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// special case, see C99 Annex F: |
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if(std::numeric_limits<T>::has_infinity |
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&& ((x == std::numeric_limits<T>::infinity()) |
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|| (y == std::numeric_limits<T>::infinity()))) |
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return policies::raise_overflow_error<T>("boost::math::hypot<%1%>(%1%,%1%)", 0, pol); |
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#ifdef BOOST_MSVC |
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#pragma warning(pop) |
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#endif |
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if(y > x) |
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(std::swap)(x, y); |
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if(x * tools::epsilon<T>() >= y) |
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return x; |
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T rat = y / x; |
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return x * sqrt(1 + rat*rat); |
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} // template <class T> T hypot(T x, T y) |
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} |
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template <class T1, class T2> |
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inline typename tools::promote_args<T1, T2>::type |
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hypot(T1 x, T2 y) |
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{ |
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typedef typename tools::promote_args<T1, T2>::type result_type; |
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return detail::hypot_imp( |
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static_cast<result_type>(x), static_cast<result_type>(y), policies::policy<>()); |
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} |
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template <class T1, class T2, class Policy> |
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inline typename tools::promote_args<T1, T2>::type |
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hypot(T1 x, T2 y, const Policy& pol) |
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{ |
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typedef typename tools::promote_args<T1, T2>::type result_type; |
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return detail::hypot_imp( |
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static_cast<result_type>(x), static_cast<result_type>(y), pol); |
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} |
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} // namespace math |
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} // namespace boost |
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#endif // BOOST_MATH_HYPOT_INCLUDED |
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